Spectral study of a self-adjoint operator on L 2 ( Ω ) related with a Poincaré type constant

Maurice Gaultier; Mikel Lezaun

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: 5, Issue: 1, page 105-123
  • ISSN: 0240-2963

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Gaultier, Maurice, and Lezaun, Mikel. "Spectral study of a self-adjoint operator on $L^2 (\Omega )$ related with a Poincaré type constant." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.1 (1996): 105-123. <http://eudml.org/doc/73371>.

@article{Gaultier1996,
author = {Gaultier, Maurice, Lezaun, Mikel},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {best constant in Poincaré inequality},
language = {eng},
number = {1},
pages = {105-123},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Spectral study of a self-adjoint operator on $L^2 (\Omega )$ related with a Poincaré type constant},
url = {http://eudml.org/doc/73371},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Gaultier, Maurice
AU - Lezaun, Mikel
TI - Spectral study of a self-adjoint operator on $L^2 (\Omega )$ related with a Poincaré type constant
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 1
SP - 105
EP - 123
LA - eng
KW - best constant in Poincaré inequality
UR - http://eudml.org/doc/73371
ER -

References

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  2. [2] Carnhan ( B.), Luther ( H.A.) and Wilker ( J.O.) .— Applied Numerical Methods, John Wiley & Sons (1969). Zbl0195.44701
  3. [3] Dautrey ( R.) and Lions ( J.-L.) .— Analyse Mathématiques et Calcul Numérique pour les Sciences et les Techniques, Masson, Paris (1984). Zbl0708.35001MR792484
  4. [4] Gaultier ( M.) and Lezaun ( M.) .— An existence and uniqueness theorem for the transfer of mass and heat in a rectangular cavity, I.M.A. J. Appl. Math.48 (1992), pp. 125-148. Zbl0762.35084MR1159835
  5. [5] Grisvard ( P.) .— Elliptic Problems in Nonsmooth Domains, Pitman, London (1985). Zbl0695.35060MR775683
  6. [6] Necas ( J.) .— Les méthodes directes en théories des équations elliptiques, Masson, Paris (1967). MR227584
  7. [7] Teman ( R.) .— Navier-Stokes Equations, North-Holland, Amsterdam (1977). Zbl0383.35057MR609732
  8. [8] Wang ( Z.X.) and Guo ( D.R.) .— Special functions, World Scientific Publishing Co., Singapore (1989). Zbl0724.33001MR1034956
  9. [9] Watson ( G.N.) .— A treatise on the theory of Bessel functions, 2nd ed., Cambridge University Press, London (1944). Zbl0063.08184MR10746

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